Average Error: 17.5 → 0.0
Time: 6.1s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r331461 = x;
        double r331462 = y;
        double r331463 = r331461 * r331462;
        double r331464 = r331462 * r331462;
        double r331465 = r331463 + r331464;
        double r331466 = z;
        double r331467 = r331462 * r331466;
        double r331468 = r331465 - r331467;
        double r331469 = r331468 - r331464;
        return r331469;
}
↓
double f(double x, double y, double z) {
        double r331470 = y;
        double r331471 = x;
        double r331472 = z;
        double r331473 = r331471 - r331472;
        double r331474 = r331470 * r331473;
        return r331474;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

    \[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

    \[\leadsto y \cdot \left(x - z\right)\]

Reproduce

herbie shell --seed 2019298 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

  :herbie-target
  (* (- x z) y)

  (- (- (+ (* x y) (* y y)) (* y z)) (* y y)))